The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  1  0  1  1  1  0  0  0  1  1  1  1  0  1  X  1  1  1  1  1  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  0 X+1  0  1 X+1 X+1 X+1  1  1  1  0 X+1  X  X  1  1  1  0 X+1  0 X+1 X+1 X+1 X+1
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  X  X  0  0  X  0  X  0  X  0  X  0  X  X  X  0  X  0  0  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  X  X  X  X  X  0  X  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  X  0  X  0  X  0  X  X  X  0  0  0  0  X  X  0  0  X  X  X  X  X  X  X
 0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  0  0  X  X  0  X  0  X  X  0  0  0  0  X  X  0  X  X  X  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  0  X  X  0  X  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  0  X  X  X  0  0  X  X  X  X  0  0  X  0  0  0  X  X  X  X
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  0  X  X  X  0  0  0  X  X  0  X  X  X  0  X  X  0  0  0  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  0  0  X  X  0  X  0  X  0  X  0

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+49x^26+14x^27+92x^28+86x^29+170x^30+192x^31+245x^32+304x^33+291x^34+428x^35+355x^36+428x^37+300x^38+304x^39+248x^40+192x^41+167x^42+86x^43+63x^44+14x^45+42x^46+18x^48+5x^50+1x^52+1x^60

The gray image is a linear code over GF(2) with n=72, k=12 and d=26.
This code was found by Heurico 1.16 in 1.21 seconds.